Split medial pigeonhole programme into its own paper
Move Section 5 of "Medial Tire Decompositions of Plane Triangulations" into a new standalone paper, "The Medial Pigeonhole Programme", which cites the medial tire paper for its terminology and notation. Convert the three cross-references that pointed into earlier sections (annular teeth, bite-face-count, boundary medial vertices) into citations. Remove Section 5 from the medial tire paper and update its abstract to drop the moved chain-pigeonhole claim, pointing to the follow-up paper. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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